Uniqueness and energy balance for isentropic Euler equation with stochastic forcing

被引：1

作者：

Ghoshal, Shyam Sundar ^{[1
]}

Jana, Animesh ^{[1
]}

Sarkar, Barun ^{[1
,2
]}

机构：

[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore 560065, Karnataka, India

[2] Indian Stat Inst, Bangalore Ctr, 8th Mile Mysore Rd, Bangalore 560059, Karnataka, India

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 61卷

关键词：

Stochastic isentropic Euler system; Pathwise weak solution; Uniqueness; Besov space; Energy balance; Onsager's conjecture; NAVIER-STOKES EQUATIONS; COMPRESSIBLE EULER; DISSIPATIVE SOLUTIONS; WEAK SOLUTIONS; CONSERVATION; CONJECTURE; DRIVEN;

D O I：

10.1016/j.nonrwa.2021.103328

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove uniqueness and energy balance for isentropic Euler system driven by a cylindrical Wiener process. Pathwise uniqueness result is obtained for weak solutions having Holder regularity C-alpha, alpha > 1/2 in space and satisfying one-sided Lipschitz bound on velocity. We prove Onsager's conjecture for isentropic Euler system with stochastic forcing, that is, energy balance equation for solutions enjoying Hiilder regularity C-alpha, alpha > 1/3. Both the results have been obtained in a more general setting by considering regularity in Besov space. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：18